Many complex natural and cultural phenomena are well modelled by systems of simple interactions between particles. A number of architectures have been developed to articulate this kind of structure, both implicitly and explicitly. We consider an unsupervised explicit model, the NRI model, and make a series of representational adaptations and physically motivated changes. Most notably we factorise the inferred latent interaction graph into a multiplex graph, allowing each layer to encode for a different interaction-type. This fNRI model is smaller in size and significantly outperforms the original in both edge and trajectory prediction, establishing a new state-of-the-art. We also present a simplified variant of our model, which demonstrates the NRI's formulation as a variational auto-encoder is not necessary for good performance, and make an adaptation to the NRI's training routine, significantly improving its ability to model complex physical dynamical systems.

简述：通过在NRI模型中引入一种新的因子化方法，即将推断的潜在交互图分解为一种多层结构，使fNRI模型在边缘预测和轨迹预测方面表现明显优于原模型，同时也提出了模型的简化版，并对训练例程进行调整以大大改善其对复杂物理动态系统的建模能力。

多交互系统的因式神经关系推理